A student's course grade is based on one midterm that counts as 1010% of his final grade, one class project that counts as 1515% of his final grade, a set of homework assignments that counts as 4040% of his final grade, and a final exam that counts as 3535% of his final grade. His midterm score is 6767, his project score is 8888, his homework score is 9191, and his final exam score is 7272. What is his overall final score? What letter grade did he earn (A, B, C, D, or F)? Assume that a mean of 90 or above is an A, a mean of at least 80 but less than 90 is a B, and so on.

His overall final score is 81.5

He earned a B

Step-by-step explanation:

To find his overall grade, we multiply each of his grades by it's weight.

Grades:

67 on the midterm, which counts for 10% = 0.1

88 on the project, which counts for 15% = 0.15

91 on homework assignements, which counts for 40% = 0.4

72 on the final exam, which counts for 35% = 0.35.

What is his overall final score?

67*0.1 + 88*0.15 + 91*0.4 + 72*0.35 = 81.5

His overall final score is 81.5

At least 80 and less than 90 has a letter grade of B. 81.5 is in this range. So he earned a B

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2